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Finding the Third Proportional to 91,303 and 137,170.50

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Solution

The third proportional to 91,303 and 137,170.50 is: 206,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,303 : 137,170.50 = 137,170.50 : x
  2. Step 2: Convert to fraction form
    91,303/137,170.50 = 137,170.50/x
  3. Step 3: Cross multiply
    91,303x = 137,170.50 × 137,170.50
  4. Step 4: Simplify right side
    91,303x = 18,815,746,070.25
  5. Step 5: Solve for x
    x = 18,815,746,070.25/91,303
  6. Step 6: Final answer
    x = 206,080.26

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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.