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Finding the Third Proportional to 73,070 and 99,020.50

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Solution

The third proportional to 73,070 and 99,020.50 is: 134,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070 : 99,020.50 = 99,020.50 : x
  2. Step 2: Convert to fraction form
    73,070/99,020.50 = 99,020.50/x
  3. Step 3: Cross multiply
    73,070x = 99,020.50 × 99,020.50
  4. Step 4: Simplify right side
    73,070x = 9,805,059,420.25
  5. Step 5: Solve for x
    x = 9,805,059,420.25/73,070
  6. Step 6: Final answer
    x = 134,187.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.