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Finding the Third Proportional to 61,484 and 94,640

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Solution

The third proportional to 61,484 and 94,640 is: 145,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,484 : 94,640 = 94,640 : x
  2. Step 2: Convert to fraction form
    61,484/94,640 = 94,640/x
  3. Step 3: Cross multiply
    61,484x = 94,640 × 94,640
  4. Step 4: Simplify right side
    61,484x = 8,956,729,600
  5. Step 5: Solve for x
    x = 8,956,729,600/61,484
  6. Step 6: Final answer
    x = 145,675.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.