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Finding the Third Proportional to 67,047.19 and 139,607.16

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Solution

The third proportional to 67,047.19 and 139,607.16 is: 290,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,047.19 : 139,607.16 = 139,607.16 : x
  2. Step 2: Convert to fraction form
    67,047.19/139,607.16 = 139,607.16/x
  3. Step 3: Cross multiply
    67,047.19x = 139,607.16 × 139,607.16
  4. Step 4: Simplify right side
    67,047.19x = 19,490,158,076.21
  5. Step 5: Solve for x
    x = 19,490,158,076.21/67,047.19
  6. Step 6: Final answer
    x = 290,693.15

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.