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Finding the Third Proportional to 113,931 and 249,732

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Solution

The third proportional to 113,931 and 249,732 is: 547,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,931 : 249,732 = 249,732 : x
  2. Step 2: Convert to fraction form
    113,931/249,732 = 249,732/x
  3. Step 3: Cross multiply
    113,931x = 249,732 × 249,732
  4. Step 4: Simplify right side
    113,931x = 62,366,071,824
  5. Step 5: Solve for x
    x = 62,366,071,824/113,931
  6. Step 6: Final answer
    x = 547,402.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.