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Finding the Third Proportional to 98,556 and 154,428

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Solution

The third proportional to 98,556 and 154,428 is: 241,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556 : 154,428 = 154,428 : x
  2. Step 2: Convert to fraction form
    98,556/154,428 = 154,428/x
  3. Step 3: Cross multiply
    98,556x = 154,428 × 154,428
  4. Step 4: Simplify right side
    98,556x = 23,848,007,184
  5. Step 5: Solve for x
    x = 23,848,007,184/98,556
  6. Step 6: Final answer
    x = 241,974.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.