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Finding the Third Proportional to 117,935.25 and 157,124.25

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Solution

The third proportional to 117,935.25 and 157,124.25 is: 209,335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,935.25 : 157,124.25 = 157,124.25 : x
  2. Step 2: Convert to fraction form
    117,935.25/157,124.25 = 157,124.25/x
  3. Step 3: Cross multiply
    117,935.25x = 157,124.25 × 157,124.25
  4. Step 4: Simplify right side
    117,935.25x = 24,688,029,938.06
  5. Step 5: Solve for x
    x = 24,688,029,938.06/117,935.25
  6. Step 6: Final answer
    x = 209,335.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.