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Finding the Third Proportional to 97,130 and 150,008

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Solution

The third proportional to 97,130 and 150,008 is: 231,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,130 : 150,008 = 150,008 : x
  2. Step 2: Convert to fraction form
    97,130/150,008 = 150,008/x
  3. Step 3: Cross multiply
    97,130x = 150,008 × 150,008
  4. Step 4: Simplify right side
    97,130x = 22,502,400,064
  5. Step 5: Solve for x
    x = 22,502,400,064/97,130
  6. Step 6: Final answer
    x = 231,673.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.