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Finding the Third Proportional to 61,429 and 94,085

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Solution

The third proportional to 61,429 and 94,085 is: 144,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,429 : 94,085 = 94,085 : x
  2. Step 2: Convert to fraction form
    61,429/94,085 = 94,085/x
  3. Step 3: Cross multiply
    61,429x = 94,085 × 94,085
  4. Step 4: Simplify right side
    61,429x = 8,851,987,225
  5. Step 5: Solve for x
    x = 8,851,987,225/61,429
  6. Step 6: Final answer
    x = 144,101.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.