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Finding the Third Proportional to 59,460 and 87,219

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Solution

The third proportional to 59,460 and 87,219 is: 127,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,460 : 87,219 = 87,219 : x
  2. Step 2: Convert to fraction form
    59,460/87,219 = 87,219/x
  3. Step 3: Cross multiply
    59,460x = 87,219 × 87,219
  4. Step 4: Simplify right side
    59,460x = 7,607,153,961
  5. Step 5: Solve for x
    x = 7,607,153,961/59,460
  6. Step 6: Final answer
    x = 127,937.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.