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Finding the Third Proportional to 79,320 and 116,784

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Solution

The third proportional to 79,320 and 116,784 is: 171,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,320 : 116,784 = 116,784 : x
  2. Step 2: Convert to fraction form
    79,320/116,784 = 116,784/x
  3. Step 3: Cross multiply
    79,320x = 116,784 × 116,784
  4. Step 4: Simplify right side
    79,320x = 13,638,502,656
  5. Step 5: Solve for x
    x = 13,638,502,656/79,320
  6. Step 6: Final answer
    x = 171,942.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.