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Finding the Third Proportional to 103,850 and 148,507

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Solution

The third proportional to 103,850 and 148,507 is: 212,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,850 : 148,507 = 148,507 : x
  2. Step 2: Convert to fraction form
    103,850/148,507 = 148,507/x
  3. Step 3: Cross multiply
    103,850x = 148,507 × 148,507
  4. Step 4: Simplify right side
    103,850x = 22,054,329,049
  5. Step 5: Solve for x
    x = 22,054,329,049/103,850
  6. Step 6: Final answer
    x = 212,367.16

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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.