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Finding the Third Proportional to 78,488 and 115,428

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Solution

The third proportional to 78,488 and 115,428 is: 169,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,488 : 115,428 = 115,428 : x
  2. Step 2: Convert to fraction form
    78,488/115,428 = 115,428/x
  3. Step 3: Cross multiply
    78,488x = 115,428 × 115,428
  4. Step 4: Simplify right side
    78,488x = 13,323,623,184
  5. Step 5: Solve for x
    x = 13,323,623,184/78,488
  6. Step 6: Final answer
    x = 169,753.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.