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Finding the Third Proportional to 42,976 and 93,332

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Solution

The third proportional to 42,976 and 93,332 is: 202,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,976 : 93,332 = 93,332 : x
  2. Step 2: Convert to fraction form
    42,976/93,332 = 93,332/x
  3. Step 3: Cross multiply
    42,976x = 93,332 × 93,332
  4. Step 4: Simplify right side
    42,976x = 8,710,862,224
  5. Step 5: Solve for x
    x = 8,710,862,224/42,976
  6. Step 6: Final answer
    x = 202,691.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.