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Finding the Third Proportional to 124,933 and 197,655.50

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Solution

The third proportional to 124,933 and 197,655.50 is: 312,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,933 : 197,655.50 = 197,655.50 : x
  2. Step 2: Convert to fraction form
    124,933/197,655.50 = 197,655.50/x
  3. Step 3: Cross multiply
    124,933x = 197,655.50 × 197,655.50
  4. Step 4: Simplify right side
    124,933x = 39,067,696,680.25
  5. Step 5: Solve for x
    x = 39,067,696,680.25/124,933
  6. Step 6: Final answer
    x = 312,709.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.