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Finding the Third Proportional to 97,112.25 and 145,675.13

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Solution

The third proportional to 97,112.25 and 145,675.13 is: 218,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,112.25 : 145,675.13 = 145,675.13 : x
  2. Step 2: Convert to fraction form
    97,112.25/145,675.13 = 145,675.13/x
  3. Step 3: Cross multiply
    97,112.25x = 145,675.13 × 145,675.13
  4. Step 4: Simplify right side
    97,112.25x = 21,221,242,043.77
  5. Step 5: Solve for x
    x = 21,221,242,043.77/97,112.25
  6. Step 6: Final answer
    x = 218,522.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.