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Finding the Third Proportional to 98,396 and 138,072

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Solution

The third proportional to 98,396 and 138,072 is: 193,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396 : 138,072 = 138,072 : x
  2. Step 2: Convert to fraction form
    98,396/138,072 = 138,072/x
  3. Step 3: Cross multiply
    98,396x = 138,072 × 138,072
  4. Step 4: Simplify right side
    98,396x = 19,063,877,184
  5. Step 5: Solve for x
    x = 19,063,877,184/98,396
  6. Step 6: Final answer
    x = 193,746.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.