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Finding the Third Proportional to 60,952.50 and 97,331.63

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Solution

The third proportional to 60,952.50 and 97,331.63 is: 155,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,952.50 : 97,331.63 = 97,331.63 : x
  2. Step 2: Convert to fraction form
    60,952.50/97,331.63 = 97,331.63/x
  3. Step 3: Cross multiply
    60,952.50x = 97,331.63 × 97,331.63
  4. Step 4: Simplify right side
    60,952.50x = 9,473,445,225.14
  5. Step 5: Solve for x
    x = 9,473,445,225.14/60,952.50
  6. Step 6: Final answer
    x = 155,423.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.