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Finding the Third Proportional to 66,547 and 97,338.50

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Solution

The third proportional to 66,547 and 97,338.50 is: 142,377.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,547 : 97,338.50 = 97,338.50 : x
  2. Step 2: Convert to fraction form
    66,547/97,338.50 = 97,338.50/x
  3. Step 3: Cross multiply
    66,547x = 97,338.50 × 97,338.50
  4. Step 4: Simplify right side
    66,547x = 9,474,783,582.25
  5. Step 5: Solve for x
    x = 9,474,783,582.25/66,547
  6. Step 6: Final answer
    x = 142,377.32

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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.