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Finding the Third Proportional to 115,076 and 155,476

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Solution

The third proportional to 115,076 and 155,476 is: 210,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,076 : 155,476 = 155,476 : x
  2. Step 2: Convert to fraction form
    115,076/155,476 = 155,476/x
  3. Step 3: Cross multiply
    115,076x = 155,476 × 155,476
  4. Step 4: Simplify right side
    115,076x = 24,172,786,576
  5. Step 5: Solve for x
    x = 24,172,786,576/115,076
  6. Step 6: Final answer
    x = 210,059.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.