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Finding the Third Proportional to 116,130 and 169,713.50

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Solution

The third proportional to 116,130 and 169,713.50 is: 248,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,130 : 169,713.50 = 169,713.50 : x
  2. Step 2: Convert to fraction form
    116,130/169,713.50 = 169,713.50/x
  3. Step 3: Cross multiply
    116,130x = 169,713.50 × 169,713.50
  4. Step 4: Simplify right side
    116,130x = 28,802,672,082.25
  5. Step 5: Solve for x
    x = 28,802,672,082.25/116,130
  6. Step 6: Final answer
    x = 248,020.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.