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Finding the Third Proportional to 71,000.09 and 151,973.93

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Solution

The third proportional to 71,000.09 and 151,973.93 is: 325,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.09 : 151,973.93 = 151,973.93 : x
  2. Step 2: Convert to fraction form
    71,000.09/151,973.93 = 151,973.93/x
  3. Step 3: Cross multiply
    71,000.09x = 151,973.93 × 151,973.93
  4. Step 4: Simplify right side
    71,000.09x = 23,096,075,304.66
  5. Step 5: Solve for x
    x = 23,096,075,304.66/71,000.09
  6. Step 6: Final answer
    x = 325,296.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.