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Finding the Third Proportional to 125,072 and 295,066

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Solution

The third proportional to 125,072 and 295,066 is: 696,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,072 : 295,066 = 295,066 : x
  2. Step 2: Convert to fraction form
    125,072/295,066 = 295,066/x
  3. Step 3: Cross multiply
    125,072x = 295,066 × 295,066
  4. Step 4: Simplify right side
    125,072x = 87,063,944,356
  5. Step 5: Solve for x
    x = 87,063,944,356/125,072
  6. Step 6: Final answer
    x = 696,110.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.