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Finding the Third Proportional to 45,146.95 and 67,070.53

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Solution

The third proportional to 45,146.95 and 67,070.53 is: 99,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,146.95 : 67,070.53 = 67,070.53 : x
  2. Step 2: Convert to fraction form
    45,146.95/67,070.53 = 67,070.53/x
  3. Step 3: Cross multiply
    45,146.95x = 67,070.53 × 67,070.53
  4. Step 4: Simplify right side
    45,146.95x = 4,498,456,162.16
  5. Step 5: Solve for x
    x = 4,498,456,162.16/45,146.95
  6. Step 6: Final answer
    x = 99,640.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.