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Finding the Third Proportional to 59,968 and 130,303

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Solution

The third proportional to 59,968 and 130,303 is: 283,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,968 : 130,303 = 130,303 : x
  2. Step 2: Convert to fraction form
    59,968/130,303 = 130,303/x
  3. Step 3: Cross multiply
    59,968x = 130,303 × 130,303
  4. Step 4: Simplify right side
    59,968x = 16,978,871,809
  5. Step 5: Solve for x
    x = 16,978,871,809/59,968
  6. Step 6: Final answer
    x = 283,132.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.