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Finding the Third Proportional to 60,358 and 78,864

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Solution

The third proportional to 60,358 and 78,864 is: 103,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,358 : 78,864 = 78,864 : x
  2. Step 2: Convert to fraction form
    60,358/78,864 = 78,864/x
  3. Step 3: Cross multiply
    60,358x = 78,864 × 78,864
  4. Step 4: Simplify right side
    60,358x = 6,219,530,496
  5. Step 5: Solve for x
    x = 6,219,530,496/60,358
  6. Step 6: Final answer
    x = 103,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.