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Finding the Third Proportional to 61,264 and 83,145

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Solution

The third proportional to 61,264 and 83,145 is: 112,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,264 : 83,145 = 83,145 : x
  2. Step 2: Convert to fraction form
    61,264/83,145 = 83,145/x
  3. Step 3: Cross multiply
    61,264x = 83,145 × 83,145
  4. Step 4: Simplify right side
    61,264x = 6,913,091,025
  5. Step 5: Solve for x
    x = 6,913,091,025/61,264
  6. Step 6: Final answer
    x = 112,841.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.