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Finding the Third Proportional to 145,972.13 and 186,510.09

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Solution

The third proportional to 145,972.13 and 186,510.09 is: 238,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972.13 : 186,510.09 = 186,510.09 : x
  2. Step 2: Convert to fraction form
    145,972.13/186,510.09 = 186,510.09/x
  3. Step 3: Cross multiply
    145,972.13x = 186,510.09 × 186,510.09
  4. Step 4: Simplify right side
    145,972.13x = 34,786,015,070.63
  5. Step 5: Solve for x
    x = 34,786,015,070.63/145,972.13
  6. Step 6: Final answer
    x = 238,305.88

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.