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Finding the Third Proportional to 113,915 and 249,769

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Solution

The third proportional to 113,915 and 249,769 is: 547,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,915 : 249,769 = 249,769 : x
  2. Step 2: Convert to fraction form
    113,915/249,769 = 249,769/x
  3. Step 3: Cross multiply
    113,915x = 249,769 × 249,769
  4. Step 4: Simplify right side
    113,915x = 62,384,553,361
  5. Step 5: Solve for x
    x = 62,384,553,361/113,915
  6. Step 6: Final answer
    x = 547,641.25

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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.