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Finding the Third Proportional to 58,786 and 88,709

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Solution

The third proportional to 58,786 and 88,709 is: 133,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,786 : 88,709 = 88,709 : x
  2. Step 2: Convert to fraction form
    58,786/88,709 = 88,709/x
  3. Step 3: Cross multiply
    58,786x = 88,709 × 88,709
  4. Step 4: Simplify right side
    58,786x = 7,869,286,681
  5. Step 5: Solve for x
    x = 7,869,286,681/58,786
  6. Step 6: Final answer
    x = 133,863.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.