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Finding the Third Proportional to 118,746 and 170,097

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Solution

The third proportional to 118,746 and 170,097 is: 243,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,746 : 170,097 = 170,097 : x
  2. Step 2: Convert to fraction form
    118,746/170,097 = 170,097/x
  3. Step 3: Cross multiply
    118,746x = 170,097 × 170,097
  4. Step 4: Simplify right side
    118,746x = 28,932,989,409
  5. Step 5: Solve for x
    x = 28,932,989,409/118,746
  6. Step 6: Final answer
    x = 243,654.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.