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Finding the Third Proportional to 76,411 and 99,847.50

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Solution

The third proportional to 76,411 and 99,847.50 is: 130,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,411 : 99,847.50 = 99,847.50 : x
  2. Step 2: Convert to fraction form
    76,411/99,847.50 = 99,847.50/x
  3. Step 3: Cross multiply
    76,411x = 99,847.50 × 99,847.50
  4. Step 4: Simplify right side
    76,411x = 9,969,523,256.25
  5. Step 5: Solve for x
    x = 9,969,523,256.25/76,411
  6. Step 6: Final answer
    x = 130,472.36

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.