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Finding the Third Proportional to 90,159 and 141,427.50

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Solution

The third proportional to 90,159 and 141,427.50 is: 221,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,159 : 141,427.50 = 141,427.50 : x
  2. Step 2: Convert to fraction form
    90,159/141,427.50 = 141,427.50/x
  3. Step 3: Cross multiply
    90,159x = 141,427.50 × 141,427.50
  4. Step 4: Simplify right side
    90,159x = 20,001,737,756.25
  5. Step 5: Solve for x
    x = 20,001,737,756.25/90,159
  6. Step 6: Final answer
    x = 221,849.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.