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Finding the Third Proportional to 55,348 and 86,478

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Solution

The third proportional to 55,348 and 86,478 is: 135,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,348 : 86,478 = 86,478 : x
  2. Step 2: Convert to fraction form
    55,348/86,478 = 86,478/x
  3. Step 3: Cross multiply
    55,348x = 86,478 × 86,478
  4. Step 4: Simplify right side
    55,348x = 7,478,444,484
  5. Step 5: Solve for x
    x = 7,478,444,484/55,348
  6. Step 6: Final answer
    x = 135,116.80

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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.