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Finding the Third Proportional to 59,916 and 130,402

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Solution

The third proportional to 59,916 and 130,402 is: 283,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,916 : 130,402 = 130,402 : x
  2. Step 2: Convert to fraction form
    59,916/130,402 = 130,402/x
  3. Step 3: Cross multiply
    59,916x = 130,402 × 130,402
  4. Step 4: Simplify right side
    59,916x = 17,004,681,604
  5. Step 5: Solve for x
    x = 17,004,681,604/59,916
  6. Step 6: Final answer
    x = 283,808.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.