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Finding the Third Proportional to 97,294.50 and 124,321.50

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Solution

The third proportional to 97,294.50 and 124,321.50 is: 158,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.50 : 124,321.50 = 124,321.50 : x
  2. Step 2: Convert to fraction form
    97,294.50/124,321.50 = 124,321.50/x
  3. Step 3: Cross multiply
    97,294.50x = 124,321.50 × 124,321.50
  4. Step 4: Simplify right side
    97,294.50x = 15,455,835,362.25
  5. Step 5: Solve for x
    x = 15,455,835,362.25/97,294.50
  6. Step 6: Final answer
    x = 158,856.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.