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Finding the Third Proportional to 61,472 and 94,938

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Solution

The third proportional to 61,472 and 94,938 is: 146,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,472 : 94,938 = 94,938 : x
  2. Step 2: Convert to fraction form
    61,472/94,938 = 94,938/x
  3. Step 3: Cross multiply
    61,472x = 94,938 × 94,938
  4. Step 4: Simplify right side
    61,472x = 9,013,223,844
  5. Step 5: Solve for x
    x = 9,013,223,844/61,472
  6. Step 6: Final answer
    x = 146,623.24

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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.