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Finding the Third Proportional to 114,740 and 154,572

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Solution

The third proportional to 114,740 and 154,572 is: 208,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,740 : 154,572 = 154,572 : x
  2. Step 2: Convert to fraction form
    114,740/154,572 = 154,572/x
  3. Step 3: Cross multiply
    114,740x = 154,572 × 154,572
  4. Step 4: Simplify right side
    114,740x = 23,892,503,184
  5. Step 5: Solve for x
    x = 23,892,503,184/114,740
  6. Step 6: Final answer
    x = 208,231.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.