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Finding the Third Proportional to 32,454 and 70,090.50

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Solution

The third proportional to 32,454 and 70,090.50 is: 151,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,454 : 70,090.50 = 70,090.50 : x
  2. Step 2: Convert to fraction form
    32,454/70,090.50 = 70,090.50/x
  3. Step 3: Cross multiply
    32,454x = 70,090.50 × 70,090.50
  4. Step 4: Simplify right side
    32,454x = 4,912,678,190.25
  5. Step 5: Solve for x
    x = 4,912,678,190.25/32,454
  6. Step 6: Final answer
    x = 151,373.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.