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Finding the Third Proportional to 68,535 and 158,648.63

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Solution

The third proportional to 68,535 and 158,648.63 is: 367,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535 : 158,648.63 = 158,648.63 : x
  2. Step 2: Convert to fraction form
    68,535/158,648.63 = 158,648.63/x
  3. Step 3: Cross multiply
    68,535x = 158,648.63 × 158,648.63
  4. Step 4: Simplify right side
    68,535x = 25,169,386,214.39
  5. Step 5: Solve for x
    x = 25,169,386,214.39/68,535
  6. Step 6: Final answer
    x = 367,248.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.