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Finding the Third Proportional to 73,075.50 and 114,156

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Solution

The third proportional to 73,075.50 and 114,156 is: 178,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,075.50 : 114,156 = 114,156 : x
  2. Step 2: Convert to fraction form
    73,075.50/114,156 = 114,156/x
  3. Step 3: Cross multiply
    73,075.50x = 114,156 × 114,156
  4. Step 4: Simplify right side
    73,075.50x = 13,031,592,336
  5. Step 5: Solve for x
    x = 13,031,592,336/73,075.50
  6. Step 6: Final answer
    x = 178,330.53

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.