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Finding the Third Proportional to 103,970.25 and 148,682.25

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Solution

The third proportional to 103,970.25 and 148,682.25 is: 212,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,970.25 : 148,682.25 = 148,682.25 : x
  2. Step 2: Convert to fraction form
    103,970.25/148,682.25 = 148,682.25/x
  3. Step 3: Cross multiply
    103,970.25x = 148,682.25 × 148,682.25
  4. Step 4: Simplify right side
    103,970.25x = 22,106,411,465.06
  5. Step 5: Solve for x
    x = 22,106,411,465.06/103,970.25
  6. Step 6: Final answer
    x = 212,622.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.