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Finding the Third Proportional to 74,158.63 and 153,574.13

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Solution

The third proportional to 74,158.63 and 153,574.13 is: 318,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,158.63 : 153,574.13 = 153,574.13 : x
  2. Step 2: Convert to fraction form
    74,158.63/153,574.13 = 153,574.13/x
  3. Step 3: Cross multiply
    74,158.63x = 153,574.13 × 153,574.13
  4. Step 4: Simplify right side
    74,158.63x = 23,585,011,869.52
  5. Step 5: Solve for x
    x = 23,585,011,869.52/74,158.63
  6. Step 6: Final answer
    x = 318,034.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.