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Finding the Third Proportional to 91,176 and 137,985

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Solution

The third proportional to 91,176 and 137,985 is: 208,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,176 : 137,985 = 137,985 : x
  2. Step 2: Convert to fraction form
    91,176/137,985 = 137,985/x
  3. Step 3: Cross multiply
    91,176x = 137,985 × 137,985
  4. Step 4: Simplify right side
    91,176x = 19,039,860,225
  5. Step 5: Solve for x
    x = 19,039,860,225/91,176
  6. Step 6: Final answer
    x = 208,825.35

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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.