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Finding the Third Proportional to 149,656 and 177,335

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Solution

The third proportional to 149,656 and 177,335 is: 210,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,656 : 177,335 = 177,335 : x
  2. Step 2: Convert to fraction form
    149,656/177,335 = 177,335/x
  3. Step 3: Cross multiply
    149,656x = 177,335 × 177,335
  4. Step 4: Simplify right side
    149,656x = 31,447,702,225
  5. Step 5: Solve for x
    x = 31,447,702,225/149,656
  6. Step 6: Final answer
    x = 210,133.25

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.