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Finding the Third Proportional to 71,210.25 and 151,623

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Solution

The third proportional to 71,210.25 and 151,623 is: 322,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.25 : 151,623 = 151,623 : x
  2. Step 2: Convert to fraction form
    71,210.25/151,623 = 151,623/x
  3. Step 3: Cross multiply
    71,210.25x = 151,623 × 151,623
  4. Step 4: Simplify right side
    71,210.25x = 22,989,534,129
  5. Step 5: Solve for x
    x = 22,989,534,129/71,210.25
  6. Step 6: Final answer
    x = 322,840.24

Related Problems

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.