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Finding the Third Proportional to 66,547 and 97,242

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Solution

The third proportional to 66,547 and 97,242 is: 142,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,547 : 97,242 = 97,242 : x
  2. Step 2: Convert to fraction form
    66,547/97,242 = 97,242/x
  3. Step 3: Cross multiply
    66,547x = 97,242 × 97,242
  4. Step 4: Simplify right side
    66,547x = 9,456,006,564
  5. Step 5: Solve for x
    x = 9,456,006,564/66,547
  6. Step 6: Final answer
    x = 142,095.16

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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.