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Finding the Third Proportional to 66,532 and 97,316

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Solution

The third proportional to 66,532 and 97,316 is: 142,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,532 : 97,316 = 97,316 : x
  2. Step 2: Convert to fraction form
    66,532/97,316 = 97,316/x
  3. Step 3: Cross multiply
    66,532x = 97,316 × 97,316
  4. Step 4: Simplify right side
    66,532x = 9,470,403,856
  5. Step 5: Solve for x
    x = 9,470,403,856/66,532
  6. Step 6: Final answer
    x = 142,343.59

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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.