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Finding the Third Proportional to 97,944 and 145,476

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Solution

The third proportional to 97,944 and 145,476 is: 216,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,944 : 145,476 = 145,476 : x
  2. Step 2: Convert to fraction form
    97,944/145,476 = 145,476/x
  3. Step 3: Cross multiply
    97,944x = 145,476 × 145,476
  4. Step 4: Simplify right side
    97,944x = 21,163,266,576
  5. Step 5: Solve for x
    x = 21,163,266,576/97,944
  6. Step 6: Final answer
    x = 216,075.17

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Why These Related Problems?

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