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Finding the Third Proportional to 61,941 and 93,492

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Solution

The third proportional to 61,941 and 93,492 is: 141,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,941 : 93,492 = 93,492 : x
  2. Step 2: Convert to fraction form
    61,941/93,492 = 93,492/x
  3. Step 3: Cross multiply
    61,941x = 93,492 × 93,492
  4. Step 4: Simplify right side
    61,941x = 8,740,754,064
  5. Step 5: Solve for x
    x = 8,740,754,064/61,941
  6. Step 6: Final answer
    x = 141,114.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.