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Finding the Third Proportional to 97,506 and 147,459

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Solution

The third proportional to 97,506 and 147,459 is: 223,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506 : 147,459 = 147,459 : x
  2. Step 2: Convert to fraction form
    97,506/147,459 = 147,459/x
  3. Step 3: Cross multiply
    97,506x = 147,459 × 147,459
  4. Step 4: Simplify right side
    97,506x = 21,744,156,681
  5. Step 5: Solve for x
    x = 21,744,156,681/97,506
  6. Step 6: Final answer
    x = 223,003.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.