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Finding the Third Proportional to 52,952 and 77,806

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Solution

The third proportional to 52,952 and 77,806 is: 114,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952 : 77,806 = 77,806 : x
  2. Step 2: Convert to fraction form
    52,952/77,806 = 77,806/x
  3. Step 3: Cross multiply
    52,952x = 77,806 × 77,806
  4. Step 4: Simplify right side
    52,952x = 6,053,773,636
  5. Step 5: Solve for x
    x = 6,053,773,636/52,952
  6. Step 6: Final answer
    x = 114,325.68

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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.