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Finding the Third Proportional to 72,698.63 and 158,898.38

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Solution

The third proportional to 72,698.63 and 158,898.38 is: 347,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698.63 : 158,898.38 = 158,898.38 : x
  2. Step 2: Convert to fraction form
    72,698.63/158,898.38 = 158,898.38/x
  3. Step 3: Cross multiply
    72,698.63x = 158,898.38 × 158,898.38
  4. Step 4: Simplify right side
    72,698.63x = 25,248,693,577.64
  5. Step 5: Solve for x
    x = 25,248,693,577.64/72,698.63
  6. Step 6: Final answer
    x = 347,306.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.