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Finding the Third Proportional to 59,148 and 88,506

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Solution

The third proportional to 59,148 and 88,506 is: 132,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,148 : 88,506 = 88,506 : x
  2. Step 2: Convert to fraction form
    59,148/88,506 = 88,506/x
  3. Step 3: Cross multiply
    59,148x = 88,506 × 88,506
  4. Step 4: Simplify right side
    59,148x = 7,833,312,036
  5. Step 5: Solve for x
    x = 7,833,312,036/59,148
  6. Step 6: Final answer
    x = 132,435.79

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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.