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Finding the Third Proportional to 101,534 and 149,358

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Solution

The third proportional to 101,534 and 149,358 is: 219,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534 : 149,358 = 149,358 : x
  2. Step 2: Convert to fraction form
    101,534/149,358 = 149,358/x
  3. Step 3: Cross multiply
    101,534x = 149,358 × 149,358
  4. Step 4: Simplify right side
    101,534x = 22,307,812,164
  5. Step 5: Solve for x
    x = 22,307,812,164/101,534
  6. Step 6: Final answer
    x = 219,707.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.