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Finding the Third Proportional to 105,044.25 and 141,527.25

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Solution

The third proportional to 105,044.25 and 141,527.25 is: 190,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044.25 : 141,527.25 = 141,527.25 : x
  2. Step 2: Convert to fraction form
    105,044.25/141,527.25 = 141,527.25/x
  3. Step 3: Cross multiply
    105,044.25x = 141,527.25 × 141,527.25
  4. Step 4: Simplify right side
    105,044.25x = 20,029,962,492.56
  5. Step 5: Solve for x
    x = 20,029,962,492.56/105,044.25
  6. Step 6: Final answer
    x = 190,681.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.