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Finding the Third Proportional to 102,344.63 and 155,107.13

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Solution

The third proportional to 102,344.63 and 155,107.13 is: 235,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.63 : 155,107.13 = 155,107.13 : x
  2. Step 2: Convert to fraction form
    102,344.63/155,107.13 = 155,107.13/x
  3. Step 3: Cross multiply
    102,344.63x = 155,107.13 × 155,107.13
  4. Step 4: Simplify right side
    102,344.63x = 24,058,220,225.77
  5. Step 5: Solve for x
    x = 24,058,220,225.77/102,344.63
  6. Step 6: Final answer
    x = 235,070.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.