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Finding the Third Proportional to 61,535 and 134,143

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Solution

The third proportional to 61,535 and 134,143 is: 292,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,535 : 134,143 = 134,143 : x
  2. Step 2: Convert to fraction form
    61,535/134,143 = 134,143/x
  3. Step 3: Cross multiply
    61,535x = 134,143 × 134,143
  4. Step 4: Simplify right side
    61,535x = 17,994,344,449
  5. Step 5: Solve for x
    x = 17,994,344,449/61,535
  6. Step 6: Final answer
    x = 292,424.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.