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Finding the Third Proportional to 134,116 and 201,510

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Solution

The third proportional to 134,116 and 201,510 is: 302,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,116 : 201,510 = 201,510 : x
  2. Step 2: Convert to fraction form
    134,116/201,510 = 201,510/x
  3. Step 3: Cross multiply
    134,116x = 201,510 × 201,510
  4. Step 4: Simplify right side
    134,116x = 40,606,280,100
  5. Step 5: Solve for x
    x = 40,606,280,100/134,116
  6. Step 6: Final answer
    x = 302,769.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.