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Finding the Third Proportional to 105,652.13 and 249,154.31

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Solution

The third proportional to 105,652.13 and 249,154.31 is: 587,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.13 : 249,154.31 = 249,154.31 : x
  2. Step 2: Convert to fraction form
    105,652.13/249,154.31 = 249,154.31/x
  3. Step 3: Cross multiply
    105,652.13x = 249,154.31 × 249,154.31
  4. Step 4: Simplify right side
    105,652.13x = 62,077,871,437.35
  5. Step 5: Solve for x
    x = 62,077,871,437.35/105,652.13
  6. Step 6: Final answer
    x = 587,568.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.