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Finding the Third Proportional to 66,484 and 97,148

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Solution

The third proportional to 66,484 and 97,148 is: 141,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,484 : 97,148 = 97,148 : x
  2. Step 2: Convert to fraction form
    66,484/97,148 = 97,148/x
  3. Step 3: Cross multiply
    66,484x = 97,148 × 97,148
  4. Step 4: Simplify right side
    66,484x = 9,437,733,904
  5. Step 5: Solve for x
    x = 9,437,733,904/66,484
  6. Step 6: Final answer
    x = 141,954.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.