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Finding the Third Proportional to 118,804 and 157,037

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Solution

The third proportional to 118,804 and 157,037 is: 207,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,804 : 157,037 = 157,037 : x
  2. Step 2: Convert to fraction form
    118,804/157,037 = 157,037/x
  3. Step 3: Cross multiply
    118,804x = 157,037 × 157,037
  4. Step 4: Simplify right side
    118,804x = 24,660,619,369
  5. Step 5: Solve for x
    x = 24,660,619,369/118,804
  6. Step 6: Final answer
    x = 207,573.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.