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Finding the Third Proportional to 102,536 and 137,964

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Solution

The third proportional to 102,536 and 137,964 is: 185,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536 : 137,964 = 137,964 : x
  2. Step 2: Convert to fraction form
    102,536/137,964 = 137,964/x
  3. Step 3: Cross multiply
    102,536x = 137,964 × 137,964
  4. Step 4: Simplify right side
    102,536x = 19,034,065,296
  5. Step 5: Solve for x
    x = 19,034,065,296/102,536
  6. Step 6: Final answer
    x = 185,633.00

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Why These Related Problems?

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