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Finding the Third Proportional to 57,305 and 88,549.50

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Solution

The third proportional to 57,305 and 88,549.50 is: 136,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,305 : 88,549.50 = 88,549.50 : x
  2. Step 2: Convert to fraction form
    57,305/88,549.50 = 88,549.50/x
  3. Step 3: Cross multiply
    57,305x = 88,549.50 × 88,549.50
  4. Step 4: Simplify right side
    57,305x = 7,841,013,950.25
  5. Step 5: Solve for x
    x = 7,841,013,950.25/57,305
  6. Step 6: Final answer
    x = 136,829.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.