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Finding the Third Proportional to 52,587 and 79,429.50

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Solution

The third proportional to 52,587 and 79,429.50 is: 119,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,587 : 79,429.50 = 79,429.50 : x
  2. Step 2: Convert to fraction form
    52,587/79,429.50 = 79,429.50/x
  3. Step 3: Cross multiply
    52,587x = 79,429.50 × 79,429.50
  4. Step 4: Simplify right side
    52,587x = 6,309,045,470.25
  5. Step 5: Solve for x
    x = 6,309,045,470.25/52,587
  6. Step 6: Final answer
    x = 119,973.48

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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.