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Finding the Third Proportional to 55,358 and 88,127

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Solution

The third proportional to 55,358 and 88,127 is: 140,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,358 : 88,127 = 88,127 : x
  2. Step 2: Convert to fraction form
    55,358/88,127 = 88,127/x
  3. Step 3: Cross multiply
    55,358x = 88,127 × 88,127
  4. Step 4: Simplify right side
    55,358x = 7,766,368,129
  5. Step 5: Solve for x
    x = 7,766,368,129/55,358
  6. Step 6: Final answer
    x = 140,293.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.