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Finding the Third Proportional to 61,566.75 and 134,703

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Solution

The third proportional to 61,566.75 and 134,703 is: 294,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,566.75 : 134,703 = 134,703 : x
  2. Step 2: Convert to fraction form
    61,566.75/134,703 = 134,703/x
  3. Step 3: Cross multiply
    61,566.75x = 134,703 × 134,703
  4. Step 4: Simplify right side
    61,566.75x = 18,144,898,209
  5. Step 5: Solve for x
    x = 18,144,898,209/61,566.75
  6. Step 6: Final answer
    x = 294,719.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.