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Finding the Third Proportional to 91,148 and 142,658.50

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Solution

The third proportional to 91,148 and 142,658.50 is: 223,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,148 : 142,658.50 = 142,658.50 : x
  2. Step 2: Convert to fraction form
    91,148/142,658.50 = 142,658.50/x
  3. Step 3: Cross multiply
    91,148x = 142,658.50 × 142,658.50
  4. Step 4: Simplify right side
    91,148x = 20,351,447,622.25
  5. Step 5: Solve for x
    x = 20,351,447,622.25/91,148
  6. Step 6: Final answer
    x = 223,279.15

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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.