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Finding the Third Proportional to 109,337 and 178,537

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Solution

The third proportional to 109,337 and 178,537 is: 291,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,337 : 178,537 = 178,537 : x
  2. Step 2: Convert to fraction form
    109,337/178,537 = 178,537/x
  3. Step 3: Cross multiply
    109,337x = 178,537 × 178,537
  4. Step 4: Simplify right side
    109,337x = 31,875,460,369
  5. Step 5: Solve for x
    x = 31,875,460,369/109,337
  6. Step 6: Final answer
    x = 291,534.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.