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Finding the Third Proportional to 102,946.50 and 164,398.50

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Solution

The third proportional to 102,946.50 and 164,398.50 is: 262,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,946.50 : 164,398.50 = 164,398.50 : x
  2. Step 2: Convert to fraction form
    102,946.50/164,398.50 = 164,398.50/x
  3. Step 3: Cross multiply
    102,946.50x = 164,398.50 × 164,398.50
  4. Step 4: Simplify right side
    102,946.50x = 27,026,866,802.25
  5. Step 5: Solve for x
    x = 27,026,866,802.25/102,946.50
  6. Step 6: Final answer
    x = 262,533.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.