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Finding the Third Proportional to 97,618.50 and 132,603.75

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Solution

The third proportional to 97,618.50 and 132,603.75 is: 180,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,618.50 : 132,603.75 = 132,603.75 : x
  2. Step 2: Convert to fraction form
    97,618.50/132,603.75 = 132,603.75/x
  3. Step 3: Cross multiply
    97,618.50x = 132,603.75 × 132,603.75
  4. Step 4: Simplify right side
    97,618.50x = 17,583,754,514.06
  5. Step 5: Solve for x
    x = 17,583,754,514.06/97,618.50
  6. Step 6: Final answer
    x = 180,127.28

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.