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Finding the Third Proportional to 53,730 and 78,957

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Solution

The third proportional to 53,730 and 78,957 is: 116,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,730 : 78,957 = 78,957 : x
  2. Step 2: Convert to fraction form
    53,730/78,957 = 78,957/x
  3. Step 3: Cross multiply
    53,730x = 78,957 × 78,957
  4. Step 4: Simplify right side
    53,730x = 6,234,207,849
  5. Step 5: Solve for x
    x = 6,234,207,849/53,730
  6. Step 6: Final answer
    x = 116,028.44

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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.