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Finding the Third Proportional to 61,466 and 94,929

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Solution

The third proportional to 61,466 and 94,929 is: 146,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466 : 94,929 = 94,929 : x
  2. Step 2: Convert to fraction form
    61,466/94,929 = 94,929/x
  3. Step 3: Cross multiply
    61,466x = 94,929 × 94,929
  4. Step 4: Simplify right side
    61,466x = 9,011,515,041
  5. Step 5: Solve for x
    x = 9,011,515,041/61,466
  6. Step 6: Final answer
    x = 146,609.75

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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.