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Finding the Third Proportional to 28,146 and 59,709

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Solution

The third proportional to 28,146 and 59,709 is: 126,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,146 : 59,709 = 59,709 : x
  2. Step 2: Convert to fraction form
    28,146/59,709 = 59,709/x
  3. Step 3: Cross multiply
    28,146x = 59,709 × 59,709
  4. Step 4: Simplify right side
    28,146x = 3,565,164,681
  5. Step 5: Solve for x
    x = 3,565,164,681/28,146
  6. Step 6: Final answer
    x = 126,666.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.