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Finding the Third Proportional to 37,140 and 81,056

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Solution

The third proportional to 37,140 and 81,056 is: 176,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140 : 81,056 = 81,056 : x
  2. Step 2: Convert to fraction form
    37,140/81,056 = 81,056/x
  3. Step 3: Cross multiply
    37,140x = 81,056 × 81,056
  4. Step 4: Simplify right side
    37,140x = 6,570,075,136
  5. Step 5: Solve for x
    x = 6,570,075,136/37,140
  6. Step 6: Final answer
    x = 176,900.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.