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Finding the Third Proportional to 106,312.50 and 141,851.25

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Solution

The third proportional to 106,312.50 and 141,851.25 is: 189,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312.50 : 141,851.25 = 141,851.25 : x
  2. Step 2: Convert to fraction form
    106,312.50/141,851.25 = 141,851.25/x
  3. Step 3: Cross multiply
    106,312.50x = 141,851.25 × 141,851.25
  4. Step 4: Simplify right side
    106,312.50x = 20,121,777,126.56
  5. Step 5: Solve for x
    x = 20,121,777,126.56/106,312.50
  6. Step 6: Final answer
    x = 189,270.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.