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Finding the Third Proportional to 61,102.25 and 94,025

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Solution

The third proportional to 61,102.25 and 94,025 is: 144,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,102.25 : 94,025 = 94,025 : x
  2. Step 2: Convert to fraction form
    61,102.25/94,025 = 94,025/x
  3. Step 3: Cross multiply
    61,102.25x = 94,025 × 94,025
  4. Step 4: Simplify right side
    61,102.25x = 8,840,700,625
  5. Step 5: Solve for x
    x = 8,840,700,625/61,102.25
  6. Step 6: Final answer
    x = 144,686.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.