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Finding the Third Proportional to 58,419 and 88,357.50

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Solution

The third proportional to 58,419 and 88,357.50 is: 133,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,419 : 88,357.50 = 88,357.50 : x
  2. Step 2: Convert to fraction form
    58,419/88,357.50 = 88,357.50/x
  3. Step 3: Cross multiply
    58,419x = 88,357.50 × 88,357.50
  4. Step 4: Simplify right side
    58,419x = 7,807,047,806.25
  5. Step 5: Solve for x
    x = 7,807,047,806.25/58,419
  6. Step 6: Final answer
    x = 133,638.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.