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Finding the Third Proportional to 61,648 and 95,640

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Solution

The third proportional to 61,648 and 95,640 is: 148,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,648 : 95,640 = 95,640 : x
  2. Step 2: Convert to fraction form
    61,648/95,640 = 95,640/x
  3. Step 3: Cross multiply
    61,648x = 95,640 × 95,640
  4. Step 4: Simplify right side
    61,648x = 9,147,009,600
  5. Step 5: Solve for x
    x = 9,147,009,600/61,648
  6. Step 6: Final answer
    x = 148,374.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.