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Finding the Third Proportional to 61,464 and 94,926

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Solution

The third proportional to 61,464 and 94,926 is: 146,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464 : 94,926 = 94,926 : x
  2. Step 2: Convert to fraction form
    61,464/94,926 = 94,926/x
  3. Step 3: Cross multiply
    61,464x = 94,926 × 94,926
  4. Step 4: Simplify right side
    61,464x = 9,010,945,476
  5. Step 5: Solve for x
    x = 9,010,945,476/61,464
  6. Step 6: Final answer
    x = 146,605.26

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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.