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Finding the Third Proportional to 63,050 and 134,446

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Solution

The third proportional to 63,050 and 134,446 is: 286,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,050 : 134,446 = 134,446 : x
  2. Step 2: Convert to fraction form
    63,050/134,446 = 134,446/x
  3. Step 3: Cross multiply
    63,050x = 134,446 × 134,446
  4. Step 4: Simplify right side
    63,050x = 18,075,726,916
  5. Step 5: Solve for x
    x = 18,075,726,916/63,050
  6. Step 6: Final answer
    x = 286,688.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.