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Finding the Third Proportional to 60,507 and 80,878.50

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Solution

The third proportional to 60,507 and 80,878.50 is: 108,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,507 : 80,878.50 = 80,878.50 : x
  2. Step 2: Convert to fraction form
    60,507/80,878.50 = 80,878.50/x
  3. Step 3: Cross multiply
    60,507x = 80,878.50 × 80,878.50
  4. Step 4: Simplify right side
    60,507x = 6,541,331,762.25
  5. Step 5: Solve for x
    x = 6,541,331,762.25/60,507
  6. Step 6: Final answer
    x = 108,108.68

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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.