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Finding the Third Proportional to 100,527 and 201,043

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Solution

The third proportional to 100,527 and 201,043 is: 402,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527 : 201,043 = 201,043 : x
  2. Step 2: Convert to fraction form
    100,527/201,043 = 201,043/x
  3. Step 3: Cross multiply
    100,527x = 201,043 × 201,043
  4. Step 4: Simplify right side
    100,527x = 40,418,287,849
  5. Step 5: Solve for x
    x = 40,418,287,849/100,527
  6. Step 6: Final answer
    x = 402,064.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.