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Finding the Third Proportional to 94,130.23 and 143,403.22

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Solution

The third proportional to 94,130.23 and 143,403.22 is: 218,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,130.23 : 143,403.22 = 143,403.22 : x
  2. Step 2: Convert to fraction form
    94,130.23/143,403.22 = 143,403.22/x
  3. Step 3: Cross multiply
    94,130.23x = 143,403.22 × 143,403.22
  4. Step 4: Simplify right side
    94,130.23x = 20,564,484,268.20
  5. Step 5: Solve for x
    x = 20,564,484,268.20/94,130.23
  6. Step 6: Final answer
    x = 218,468.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.