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Finding the Third Proportional to 52,001.16 and 74,309.91

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Solution

The third proportional to 52,001.16 and 74,309.91 is: 106,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,001.16 : 74,309.91 = 74,309.91 : x
  2. Step 2: Convert to fraction form
    52,001.16/74,309.91 = 74,309.91/x
  3. Step 3: Cross multiply
    52,001.16x = 74,309.91 × 74,309.91
  4. Step 4: Simplify right side
    52,001.16x = 5,521,962,166.88
  5. Step 5: Solve for x
    x = 5,521,962,166.88/52,001.16
  6. Step 6: Final answer
    x = 106,189.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.