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Finding the Third Proportional to 58,095 and 93,303

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Solution

The third proportional to 58,095 and 93,303 is: 149,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,095 : 93,303 = 93,303 : x
  2. Step 2: Convert to fraction form
    58,095/93,303 = 93,303/x
  3. Step 3: Cross multiply
    58,095x = 93,303 × 93,303
  4. Step 4: Simplify right side
    58,095x = 8,705,449,809
  5. Step 5: Solve for x
    x = 8,705,449,809/58,095
  6. Step 6: Final answer
    x = 149,848.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.