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Finding the Third Proportional to 113,076 and 174,510

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Solution

The third proportional to 113,076 and 174,510 is: 269,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,076 : 174,510 = 174,510 : x
  2. Step 2: Convert to fraction form
    113,076/174,510 = 174,510/x
  3. Step 3: Cross multiply
    113,076x = 174,510 × 174,510
  4. Step 4: Simplify right side
    113,076x = 30,453,740,100
  5. Step 5: Solve for x
    x = 30,453,740,100/113,076
  6. Step 6: Final answer
    x = 269,320.99

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