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Finding the Third Proportional to 103,893 and 148,572

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Solution

The third proportional to 103,893 and 148,572 is: 212,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,893 : 148,572 = 148,572 : x
  2. Step 2: Convert to fraction form
    103,893/148,572 = 148,572/x
  3. Step 3: Cross multiply
    103,893x = 148,572 × 148,572
  4. Step 4: Simplify right side
    103,893x = 22,073,639,184
  5. Step 5: Solve for x
    x = 22,073,639,184/103,893
  6. Step 6: Final answer
    x = 212,465.12

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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.