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Finding the Third Proportional to 52,506 and 79,730

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Solution

The third proportional to 52,506 and 79,730 is: 121,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506 : 79,730 = 79,730 : x
  2. Step 2: Convert to fraction form
    52,506/79,730 = 79,730/x
  3. Step 3: Cross multiply
    52,506x = 79,730 × 79,730
  4. Step 4: Simplify right side
    52,506x = 6,356,872,900
  5. Step 5: Solve for x
    x = 6,356,872,900/52,506
  6. Step 6: Final answer
    x = 121,069.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.