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Finding the Third Proportional to 58,714 and 78,657

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Solution

The third proportional to 58,714 and 78,657 is: 105,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,714 : 78,657 = 78,657 : x
  2. Step 2: Convert to fraction form
    58,714/78,657 = 78,657/x
  3. Step 3: Cross multiply
    58,714x = 78,657 × 78,657
  4. Step 4: Simplify right side
    58,714x = 6,186,923,649
  5. Step 5: Solve for x
    x = 6,186,923,649/58,714
  6. Step 6: Final answer
    x = 105,373.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.