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Finding the Third Proportional to 70,516 and 148,304

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Solution

The third proportional to 70,516 and 148,304 is: 311,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,516 : 148,304 = 148,304 : x
  2. Step 2: Convert to fraction form
    70,516/148,304 = 148,304/x
  3. Step 3: Cross multiply
    70,516x = 148,304 × 148,304
  4. Step 4: Simplify right side
    70,516x = 21,994,076,416
  5. Step 5: Solve for x
    x = 21,994,076,416/70,516
  6. Step 6: Final answer
    x = 311,901.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.