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Finding the Third Proportional to 105,803.72 and 155,322.56

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Solution

The third proportional to 105,803.72 and 155,322.56 is: 228,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,803.72 : 155,322.56 = 155,322.56 : x
  2. Step 2: Convert to fraction form
    105,803.72/155,322.56 = 155,322.56/x
  3. Step 3: Cross multiply
    105,803.72x = 155,322.56 × 155,322.56
  4. Step 4: Simplify right side
    105,803.72x = 24,125,098,421.57
  5. Step 5: Solve for x
    x = 24,125,098,421.57/105,803.72
  6. Step 6: Final answer
    x = 228,017.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.