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Finding the Third Proportional to 52,160 and 74,748

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Solution

The third proportional to 52,160 and 74,748 is: 107,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 74,748 = 74,748 : x
  2. Step 2: Convert to fraction form
    52,160/74,748 = 74,748/x
  3. Step 3: Cross multiply
    52,160x = 74,748 × 74,748
  4. Step 4: Simplify right side
    52,160x = 5,587,263,504
  5. Step 5: Solve for x
    x = 5,587,263,504/52,160
  6. Step 6: Final answer
    x = 107,117.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.