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Finding the Third Proportional to 112,507 and 164,317

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Solution

The third proportional to 112,507 and 164,317 is: 239,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,507 : 164,317 = 164,317 : x
  2. Step 2: Convert to fraction form
    112,507/164,317 = 164,317/x
  3. Step 3: Cross multiply
    112,507x = 164,317 × 164,317
  4. Step 4: Simplify right side
    112,507x = 27,000,076,489
  5. Step 5: Solve for x
    x = 27,000,076,489/112,507
  6. Step 6: Final answer
    x = 239,985.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.