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Finding the Third Proportional to 55,355 and 85,948.63

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Solution

The third proportional to 55,355 and 85,948.63 is: 133,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,355 : 85,948.63 = 85,948.63 : x
  2. Step 2: Convert to fraction form
    55,355/85,948.63 = 85,948.63/x
  3. Step 3: Cross multiply
    55,355x = 85,948.63 × 85,948.63
  4. Step 4: Simplify right side
    55,355x = 7,387,166,139.39
  5. Step 5: Solve for x
    x = 7,387,166,139.39/55,355
  6. Step 6: Final answer
    x = 133,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.