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Finding the Third Proportional to 75,332 and 113,970

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Solution

The third proportional to 75,332 and 113,970 is: 172,425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332 : 113,970 = 113,970 : x
  2. Step 2: Convert to fraction form
    75,332/113,970 = 113,970/x
  3. Step 3: Cross multiply
    75,332x = 113,970 × 113,970
  4. Step 4: Simplify right side
    75,332x = 12,989,160,900
  5. Step 5: Solve for x
    x = 12,989,160,900/75,332
  6. Step 6: Final answer
    x = 172,425.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.