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Finding the Third Proportional to 61,064 and 96,514

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Solution

The third proportional to 61,064 and 96,514 is: 152,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,064 : 96,514 = 96,514 : x
  2. Step 2: Convert to fraction form
    61,064/96,514 = 96,514/x
  3. Step 3: Cross multiply
    61,064x = 96,514 × 96,514
  4. Step 4: Simplify right side
    61,064x = 9,314,952,196
  5. Step 5: Solve for x
    x = 9,314,952,196/61,064
  6. Step 6: Final answer
    x = 152,544.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.