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Finding the Third Proportional to 113,535 and 163,248.75

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Solution

The third proportional to 113,535 and 163,248.75 is: 234,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,535 : 163,248.75 = 163,248.75 : x
  2. Step 2: Convert to fraction form
    113,535/163,248.75 = 163,248.75/x
  3. Step 3: Cross multiply
    113,535x = 163,248.75 × 163,248.75
  4. Step 4: Simplify right side
    113,535x = 26,650,154,376.56
  5. Step 5: Solve for x
    x = 26,650,154,376.56/113,535
  6. Step 6: Final answer
    x = 234,730.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.