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Finding the Third Proportional to 125,032 and 294,967.50

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Solution

The third proportional to 125,032 and 294,967.50 is: 695,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,032 : 294,967.50 = 294,967.50 : x
  2. Step 2: Convert to fraction form
    125,032/294,967.50 = 294,967.50/x
  3. Step 3: Cross multiply
    125,032x = 294,967.50 × 294,967.50
  4. Step 4: Simplify right side
    125,032x = 87,005,826,056.25
  5. Step 5: Solve for x
    x = 87,005,826,056.25/125,032
  6. Step 6: Final answer
    x = 695,868.47

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