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Finding the Third Proportional to 125,793 and 170,929.50

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Solution

The third proportional to 125,793 and 170,929.50 is: 232,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,793 : 170,929.50 = 170,929.50 : x
  2. Step 2: Convert to fraction form
    125,793/170,929.50 = 170,929.50/x
  3. Step 3: Cross multiply
    125,793x = 170,929.50 × 170,929.50
  4. Step 4: Simplify right side
    125,793x = 29,216,893,970.25
  5. Step 5: Solve for x
    x = 29,216,893,970.25/125,793
  6. Step 6: Final answer
    x = 232,261.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.