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Finding the Third Proportional to 102,998 and 137,953

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Solution

The third proportional to 102,998 and 137,953 is: 184,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,998 : 137,953 = 137,953 : x
  2. Step 2: Convert to fraction form
    102,998/137,953 = 137,953/x
  3. Step 3: Cross multiply
    102,998x = 137,953 × 137,953
  4. Step 4: Simplify right side
    102,998x = 19,031,030,209
  5. Step 5: Solve for x
    x = 19,031,030,209/102,998
  6. Step 6: Final answer
    x = 184,770.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.