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Finding the Third Proportional to 71,139 and 153,303

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Solution

The third proportional to 71,139 and 153,303 is: 330,364.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139 : 153,303 = 153,303 : x
  2. Step 2: Convert to fraction form
    71,139/153,303 = 153,303/x
  3. Step 3: Cross multiply
    71,139x = 153,303 × 153,303
  4. Step 4: Simplify right side
    71,139x = 23,501,809,809
  5. Step 5: Solve for x
    x = 23,501,809,809/71,139
  6. Step 6: Final answer
    x = 330,364.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.