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Finding the Third Proportional to 125,032 and 294,969

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Solution

The third proportional to 125,032 and 294,969 is: 695,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,032 : 294,969 = 294,969 : x
  2. Step 2: Convert to fraction form
    125,032/294,969 = 294,969/x
  3. Step 3: Cross multiply
    125,032x = 294,969 × 294,969
  4. Step 4: Simplify right side
    125,032x = 87,006,710,961
  5. Step 5: Solve for x
    x = 87,006,710,961/125,032
  6. Step 6: Final answer
    x = 695,875.54

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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.