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Finding the Third Proportional to 42,423 and 60,312

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Solution

The third proportional to 42,423 and 60,312 is: 85,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,423 : 60,312 = 60,312 : x
  2. Step 2: Convert to fraction form
    42,423/60,312 = 60,312/x
  3. Step 3: Cross multiply
    42,423x = 60,312 × 60,312
  4. Step 4: Simplify right side
    42,423x = 3,637,537,344
  5. Step 5: Solve for x
    x = 3,637,537,344/42,423
  6. Step 6: Final answer
    x = 85,744.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.