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Finding the Third Proportional to 88,209 and 132,513

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Solution

The third proportional to 88,209 and 132,513 is: 199,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209 : 132,513 = 132,513 : x
  2. Step 2: Convert to fraction form
    88,209/132,513 = 132,513/x
  3. Step 3: Cross multiply
    88,209x = 132,513 × 132,513
  4. Step 4: Simplify right side
    88,209x = 17,559,695,169
  5. Step 5: Solve for x
    x = 17,559,695,169/88,209
  6. Step 6: Final answer
    x = 199,069.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.