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Finding the Third Proportional to 64,547.25 and 92,966.25

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Solution

The third proportional to 64,547.25 and 92,966.25 is: 133,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,547.25 : 92,966.25 = 92,966.25 : x
  2. Step 2: Convert to fraction form
    64,547.25/92,966.25 = 92,966.25/x
  3. Step 3: Cross multiply
    64,547.25x = 92,966.25 × 92,966.25
  4. Step 4: Simplify right side
    64,547.25x = 8,642,723,639.06
  5. Step 5: Solve for x
    x = 8,642,723,639.06/64,547.25
  6. Step 6: Final answer
    x = 133,897.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.