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Finding the Third Proportional to 97,172 and 147,776

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Solution

The third proportional to 97,172 and 147,776 is: 224,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,172 : 147,776 = 147,776 : x
  2. Step 2: Convert to fraction form
    97,172/147,776 = 147,776/x
  3. Step 3: Cross multiply
    97,172x = 147,776 × 147,776
  4. Step 4: Simplify right side
    97,172x = 21,837,746,176
  5. Step 5: Solve for x
    x = 21,837,746,176/97,172
  6. Step 6: Final answer
    x = 224,732.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.