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Finding the Third Proportional to 35,235 and 74,160.56

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Solution

The third proportional to 35,235 and 74,160.56 is: 156,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,235 : 74,160.56 = 74,160.56 : x
  2. Step 2: Convert to fraction form
    35,235/74,160.56 = 74,160.56/x
  3. Step 3: Cross multiply
    35,235x = 74,160.56 × 74,160.56
  4. Step 4: Simplify right side
    35,235x = 5,499,789,030.32
  5. Step 5: Solve for x
    x = 5,499,789,030.32/35,235
  6. Step 6: Final answer
    x = 156,088.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.