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Finding the Third Proportional to 52,330 and 78,712

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Solution

The third proportional to 52,330 and 78,712 is: 118,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,330 : 78,712 = 78,712 : x
  2. Step 2: Convert to fraction form
    52,330/78,712 = 78,712/x
  3. Step 3: Cross multiply
    52,330x = 78,712 × 78,712
  4. Step 4: Simplify right side
    52,330x = 6,195,578,944
  5. Step 5: Solve for x
    x = 6,195,578,944/52,330
  6. Step 6: Final answer
    x = 118,394.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.