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Finding the Third Proportional to 97,240.50 and 142,137

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Solution

The third proportional to 97,240.50 and 142,137 is: 207,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,240.50 : 142,137 = 142,137 : x
  2. Step 2: Convert to fraction form
    97,240.50/142,137 = 142,137/x
  3. Step 3: Cross multiply
    97,240.50x = 142,137 × 142,137
  4. Step 4: Simplify right side
    97,240.50x = 20,202,926,769
  5. Step 5: Solve for x
    x = 20,202,926,769/97,240.50
  6. Step 6: Final answer
    x = 207,762.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.