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Finding the Third Proportional to 59,301 and 139,986

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Solution

The third proportional to 59,301 and 139,986 is: 330,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,301 : 139,986 = 139,986 : x
  2. Step 2: Convert to fraction form
    59,301/139,986 = 139,986/x
  3. Step 3: Cross multiply
    59,301x = 139,986 × 139,986
  4. Step 4: Simplify right side
    59,301x = 19,596,080,196
  5. Step 5: Solve for x
    x = 19,596,080,196/59,301
  6. Step 6: Final answer
    x = 330,451.09

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.