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Finding the Third Proportional to 60,592.50 and 124,123.50

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Solution

The third proportional to 60,592.50 and 124,123.50 is: 254,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,592.50 : 124,123.50 = 124,123.50 : x
  2. Step 2: Convert to fraction form
    60,592.50/124,123.50 = 124,123.50/x
  3. Step 3: Cross multiply
    60,592.50x = 124,123.50 × 124,123.50
  4. Step 4: Simplify right side
    60,592.50x = 15,406,643,252.25
  5. Step 5: Solve for x
    x = 15,406,643,252.25/60,592.50
  6. Step 6: Final answer
    x = 254,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.