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Finding the Third Proportional to 65,442 and 103,792.13

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Solution

The third proportional to 65,442 and 103,792.13 is: 164,616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,442 : 103,792.13 = 103,792.13 : x
  2. Step 2: Convert to fraction form
    65,442/103,792.13 = 103,792.13/x
  3. Step 3: Cross multiply
    65,442x = 103,792.13 × 103,792.13
  4. Step 4: Simplify right side
    65,442x = 10,772,805,212.02
  5. Step 5: Solve for x
    x = 10,772,805,212.02/65,442
  6. Step 6: Final answer
    x = 164,616.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.