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Finding the Third Proportional to 71,557.50 and 113,281.50

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Solution

The third proportional to 71,557.50 and 113,281.50 is: 179,334.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,557.50 : 113,281.50 = 113,281.50 : x
  2. Step 2: Convert to fraction form
    71,557.50/113,281.50 = 113,281.50/x
  3. Step 3: Cross multiply
    71,557.50x = 113,281.50 × 113,281.50
  4. Step 4: Simplify right side
    71,557.50x = 12,832,698,242.25
  5. Step 5: Solve for x
    x = 12,832,698,242.25/71,557.50
  6. Step 6: Final answer
    x = 179,334.08

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.