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Finding the Third Proportional to 42,148 and 97,576

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Solution

The third proportional to 42,148 and 97,576 is: 225,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148 : 97,576 = 97,576 : x
  2. Step 2: Convert to fraction form
    42,148/97,576 = 97,576/x
  3. Step 3: Cross multiply
    42,148x = 97,576 × 97,576
  4. Step 4: Simplify right side
    42,148x = 9,521,075,776
  5. Step 5: Solve for x
    x = 9,521,075,776/42,148
  6. Step 6: Final answer
    x = 225,896.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.