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Finding the Third Proportional to 43,075.78 and 64,354.18

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Solution

The third proportional to 43,075.78 and 64,354.18 is: 96,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075.78 : 64,354.18 = 64,354.18 : x
  2. Step 2: Convert to fraction form
    43,075.78/64,354.18 = 64,354.18/x
  3. Step 3: Cross multiply
    43,075.78x = 64,354.18 × 64,354.18
  4. Step 4: Simplify right side
    43,075.78x = 4,141,460,946.02
  5. Step 5: Solve for x
    x = 4,141,460,946.02/43,075.78
  6. Step 6: Final answer
    x = 96,143.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.