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Finding the Third Proportional to 94,699.13 and 157,813.31

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Solution

The third proportional to 94,699.13 and 157,813.31 is: 262,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,699.13 : 157,813.31 = 157,813.31 : x
  2. Step 2: Convert to fraction form
    94,699.13/157,813.31 = 157,813.31/x
  3. Step 3: Cross multiply
    94,699.13x = 157,813.31 × 157,813.31
  4. Step 4: Simplify right side
    94,699.13x = 24,905,041,602.22
  5. Step 5: Solve for x
    x = 24,905,041,602.22/94,699.13
  6. Step 6: Final answer
    x = 262,991.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.