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Finding the Third Proportional to 109,754 and 174,537

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Solution

The third proportional to 109,754 and 174,537 is: 277,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,754 : 174,537 = 174,537 : x
  2. Step 2: Convert to fraction form
    109,754/174,537 = 174,537/x
  3. Step 3: Cross multiply
    109,754x = 174,537 × 174,537
  4. Step 4: Simplify right side
    109,754x = 30,463,164,369
  5. Step 5: Solve for x
    x = 30,463,164,369/109,754
  6. Step 6: Final answer
    x = 277,558.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.