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Finding the Third Proportional to 52,748 and 82,920

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Solution

The third proportional to 52,748 and 82,920 is: 130,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,748 : 82,920 = 82,920 : x
  2. Step 2: Convert to fraction form
    52,748/82,920 = 82,920/x
  3. Step 3: Cross multiply
    52,748x = 82,920 × 82,920
  4. Step 4: Simplify right side
    52,748x = 6,875,726,400
  5. Step 5: Solve for x
    x = 6,875,726,400/52,748
  6. Step 6: Final answer
    x = 130,350.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.