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Finding the Third Proportional to 65,457 and 102,397.50

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Solution

The third proportional to 65,457 and 102,397.50 is: 160,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,457 : 102,397.50 = 102,397.50 : x
  2. Step 2: Convert to fraction form
    65,457/102,397.50 = 102,397.50/x
  3. Step 3: Cross multiply
    65,457x = 102,397.50 × 102,397.50
  4. Step 4: Simplify right side
    65,457x = 10,485,248,006.25
  5. Step 5: Solve for x
    x = 10,485,248,006.25/65,457
  6. Step 6: Final answer
    x = 160,185.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.