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Finding the Third Proportional to 132,051 and 257,487

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Solution

The third proportional to 132,051 and 257,487 is: 502,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,051 : 257,487 = 257,487 : x
  2. Step 2: Convert to fraction form
    132,051/257,487 = 257,487/x
  3. Step 3: Cross multiply
    132,051x = 257,487 × 257,487
  4. Step 4: Simplify right side
    132,051x = 66,299,555,169
  5. Step 5: Solve for x
    x = 66,299,555,169/132,051
  6. Step 6: Final answer
    x = 502,075.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.