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Finding the Third Proportional to 74,359.69 and 153,721.13

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Solution

The third proportional to 74,359.69 and 153,721.13 is: 317,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,359.69 : 153,721.13 = 153,721.13 : x
  2. Step 2: Convert to fraction form
    74,359.69/153,721.13 = 153,721.13/x
  3. Step 3: Cross multiply
    74,359.69x = 153,721.13 × 153,721.13
  4. Step 4: Simplify right side
    74,359.69x = 23,630,184,271.27
  5. Step 5: Solve for x
    x = 23,630,184,271.27/74,359.69
  6. Step 6: Final answer
    x = 317,782.19

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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.