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Finding the Third Proportional to 55,534 and 87,020

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Solution

The third proportional to 55,534 and 87,020 is: 136,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534 : 87,020 = 87,020 : x
  2. Step 2: Convert to fraction form
    55,534/87,020 = 87,020/x
  3. Step 3: Cross multiply
    55,534x = 87,020 × 87,020
  4. Step 4: Simplify right side
    55,534x = 7,572,480,400
  5. Step 5: Solve for x
    x = 7,572,480,400/55,534
  6. Step 6: Final answer
    x = 136,357.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.