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Finding the Third Proportional to 91,192 and 145,681.50

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Solution

The third proportional to 91,192 and 145,681.50 is: 232,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,192 : 145,681.50 = 145,681.50 : x
  2. Step 2: Convert to fraction form
    91,192/145,681.50 = 145,681.50/x
  3. Step 3: Cross multiply
    91,192x = 145,681.50 × 145,681.50
  4. Step 4: Simplify right side
    91,192x = 21,223,099,442.25
  5. Step 5: Solve for x
    x = 21,223,099,442.25/91,192
  6. Step 6: Final answer
    x = 232,729.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.