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Finding the Third Proportional to 104,078 and 148,724

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Solution

The third proportional to 104,078 and 148,724 is: 212,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,078 : 148,724 = 148,724 : x
  2. Step 2: Convert to fraction form
    104,078/148,724 = 148,724/x
  3. Step 3: Cross multiply
    104,078x = 148,724 × 148,724
  4. Step 4: Simplify right side
    104,078x = 22,118,828,176
  5. Step 5: Solve for x
    x = 22,118,828,176/104,078
  6. Step 6: Final answer
    x = 212,521.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.