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Finding the Third Proportional to 106,374 and 157,507

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Solution

The third proportional to 106,374 and 157,507 is: 233,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,374 : 157,507 = 157,507 : x
  2. Step 2: Convert to fraction form
    106,374/157,507 = 157,507/x
  3. Step 3: Cross multiply
    106,374x = 157,507 × 157,507
  4. Step 4: Simplify right side
    106,374x = 24,808,455,049
  5. Step 5: Solve for x
    x = 24,808,455,049/106,374
  6. Step 6: Final answer
    x = 233,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.