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Finding the Third Proportional to 125,957 and 176,117.50

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Solution

The third proportional to 125,957 and 176,117.50 is: 246,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957 : 176,117.50 = 176,117.50 : x
  2. Step 2: Convert to fraction form
    125,957/176,117.50 = 176,117.50/x
  3. Step 3: Cross multiply
    125,957x = 176,117.50 × 176,117.50
  4. Step 4: Simplify right side
    125,957x = 31,017,373,806.25
  5. Step 5: Solve for x
    x = 31,017,373,806.25/125,957
  6. Step 6: Final answer
    x = 246,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.