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Finding the Third Proportional to 63,101 and 147,455

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Solution

The third proportional to 63,101 and 147,455 is: 344,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,101 : 147,455 = 147,455 : x
  2. Step 2: Convert to fraction form
    63,101/147,455 = 147,455/x
  3. Step 3: Cross multiply
    63,101x = 147,455 × 147,455
  4. Step 4: Simplify right side
    63,101x = 21,742,977,025
  5. Step 5: Solve for x
    x = 21,742,977,025/63,101
  6. Step 6: Final answer
    x = 344,574.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.