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Finding the Third Proportional to 55,972 and 87,362

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Solution

The third proportional to 55,972 and 87,362 is: 136,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,972 : 87,362 = 87,362 : x
  2. Step 2: Convert to fraction form
    55,972/87,362 = 87,362/x
  3. Step 3: Cross multiply
    55,972x = 87,362 × 87,362
  4. Step 4: Simplify right side
    55,972x = 7,632,119,044
  5. Step 5: Solve for x
    x = 7,632,119,044/55,972
  6. Step 6: Final answer
    x = 136,356.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.