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Finding the Third Proportional to 125,492.06 and 191,178.94

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Solution

The third proportional to 125,492.06 and 191,178.94 is: 291,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,492.06 : 191,178.94 = 191,178.94 : x
  2. Step 2: Convert to fraction form
    125,492.06/191,178.94 = 191,178.94/x
  3. Step 3: Cross multiply
    125,492.06x = 191,178.94 × 191,178.94
  4. Step 4: Simplify right side
    125,492.06x = 36,549,386,143.63
  5. Step 5: Solve for x
    x = 36,549,386,143.63/125,492.06
  6. Step 6: Final answer
    x = 291,248.59

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.