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Finding the Third Proportional to 58,713 and 78,656.25

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Solution

The third proportional to 58,713 and 78,656.25 is: 105,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,713 : 78,656.25 = 78,656.25 : x
  2. Step 2: Convert to fraction form
    58,713/78,656.25 = 78,656.25/x
  3. Step 3: Cross multiply
    58,713x = 78,656.25 × 78,656.25
  4. Step 4: Simplify right side
    58,713x = 6,186,805,664.06
  5. Step 5: Solve for x
    x = 6,186,805,664.06/58,713
  6. Step 6: Final answer
    x = 105,373.69

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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.