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Finding the Third Proportional to 97,273.13 and 145,291.50

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Solution

The third proportional to 97,273.13 and 145,291.50 is: 217,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,273.13 : 145,291.50 = 145,291.50 : x
  2. Step 2: Convert to fraction form
    97,273.13/145,291.50 = 145,291.50/x
  3. Step 3: Cross multiply
    97,273.13x = 145,291.50 × 145,291.50
  4. Step 4: Simplify right side
    97,273.13x = 21,109,619,972.25
  5. Step 5: Solve for x
    x = 21,109,619,972.25/97,273.13
  6. Step 6: Final answer
    x = 217,013.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.