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Finding the Third Proportional to 81,434.81 and 124,574.06

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Solution

The third proportional to 81,434.81 and 124,574.06 is: 190,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,434.81 : 124,574.06 = 124,574.06 : x
  2. Step 2: Convert to fraction form
    81,434.81/124,574.06 = 124,574.06/x
  3. Step 3: Cross multiply
    81,434.81x = 124,574.06 × 124,574.06
  4. Step 4: Simplify right side
    81,434.81x = 15,518,697,047.75
  5. Step 5: Solve for x
    x = 15,518,697,047.75/81,434.81
  6. Step 6: Final answer
    x = 190,565.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.