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Finding the Third Proportional to 58,024 and 78,287

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Solution

The third proportional to 58,024 and 78,287 is: 105,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,024 : 78,287 = 78,287 : x
  2. Step 2: Convert to fraction form
    58,024/78,287 = 78,287/x
  3. Step 3: Cross multiply
    58,024x = 78,287 × 78,287
  4. Step 4: Simplify right side
    58,024x = 6,128,854,369
  5. Step 5: Solve for x
    x = 6,128,854,369/58,024
  6. Step 6: Final answer
    x = 105,626.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.