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Finding the Third Proportional to 105,670.13 and 249,192

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Solution

The third proportional to 105,670.13 and 249,192 is: 587,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,670.13 : 249,192 = 249,192 : x
  2. Step 2: Convert to fraction form
    105,670.13/249,192 = 249,192/x
  3. Step 3: Cross multiply
    105,670.13x = 249,192 × 249,192
  4. Step 4: Simplify right side
    105,670.13x = 62,096,652,864
  5. Step 5: Solve for x
    x = 62,096,652,864/105,670.13
  6. Step 6: Final answer
    x = 587,646.25

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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.