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Finding the Third Proportional to 105,655.25 and 249,159

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Solution

The third proportional to 105,655.25 and 249,159 is: 587,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.25 : 249,159 = 249,159 : x
  2. Step 2: Convert to fraction form
    105,655.25/249,159 = 249,159/x
  3. Step 3: Cross multiply
    105,655.25x = 249,159 × 249,159
  4. Step 4: Simplify right side
    105,655.25x = 62,080,207,281
  5. Step 5: Solve for x
    x = 62,080,207,281/105,655.25
  6. Step 6: Final answer
    x = 587,573.33

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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.