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Finding the Third Proportional to 58,725 and 78,664.50

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Solution

The third proportional to 58,725 and 78,664.50 is: 105,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,725 : 78,664.50 = 78,664.50 : x
  2. Step 2: Convert to fraction form
    58,725/78,664.50 = 78,664.50/x
  3. Step 3: Cross multiply
    58,725x = 78,664.50 × 78,664.50
  4. Step 4: Simplify right side
    58,725x = 6,188,103,560.25
  5. Step 5: Solve for x
    x = 6,188,103,560.25/58,725
  6. Step 6: Final answer
    x = 105,374.26

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