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Finding the Third Proportional to 113,376 and 174,944

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Solution

The third proportional to 113,376 and 174,944 is: 269,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,376 : 174,944 = 174,944 : x
  2. Step 2: Convert to fraction form
    113,376/174,944 = 174,944/x
  3. Step 3: Cross multiply
    113,376x = 174,944 × 174,944
  4. Step 4: Simplify right side
    113,376x = 30,605,403,136
  5. Step 5: Solve for x
    x = 30,605,403,136/113,376
  6. Step 6: Final answer
    x = 269,946.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.