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Finding the Third Proportional to 148,137 and 227,547

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Solution

The third proportional to 148,137 and 227,547 is: 349,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,137 : 227,547 = 227,547 : x
  2. Step 2: Convert to fraction form
    148,137/227,547 = 227,547/x
  3. Step 3: Cross multiply
    148,137x = 227,547 × 227,547
  4. Step 4: Simplify right side
    148,137x = 51,777,637,209
  5. Step 5: Solve for x
    x = 51,777,637,209/148,137
  6. Step 6: Final answer
    x = 349,525.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.