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Finding the Third Proportional to 61,520 and 95,046

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Solution

The third proportional to 61,520 and 95,046 is: 146,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520 : 95,046 = 95,046 : x
  2. Step 2: Convert to fraction form
    61,520/95,046 = 95,046/x
  3. Step 3: Cross multiply
    61,520x = 95,046 × 95,046
  4. Step 4: Simplify right side
    61,520x = 9,033,742,116
  5. Step 5: Solve for x
    x = 9,033,742,116/61,520
  6. Step 6: Final answer
    x = 146,842.36

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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.