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Finding the Third Proportional to 57,856 and 118,784

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Solution

The third proportional to 57,856 and 118,784 is: 243,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,856 : 118,784 = 118,784 : x
  2. Step 2: Convert to fraction form
    57,856/118,784 = 118,784/x
  3. Step 3: Cross multiply
    57,856x = 118,784 × 118,784
  4. Step 4: Simplify right side
    57,856x = 14,109,638,656
  5. Step 5: Solve for x
    x = 14,109,638,656/57,856
  6. Step 6: Final answer
    x = 243,875.12

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.