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Finding the Third Proportional to 105,901.17 and 148,462.88

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Solution

The third proportional to 105,901.17 and 148,462.88 is: 208,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901.17 : 148,462.88 = 148,462.88 : x
  2. Step 2: Convert to fraction form
    105,901.17/148,462.88 = 148,462.88/x
  3. Step 3: Cross multiply
    105,901.17x = 148,462.88 × 148,462.88
  4. Step 4: Simplify right side
    105,901.17x = 22,041,225,253.27
  5. Step 5: Solve for x
    x = 22,041,225,253.27/105,901.17
  6. Step 6: Final answer
    x = 208,130.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.