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Finding the Third Proportional to 58,563 and 93,116.25

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Solution

The third proportional to 58,563 and 93,116.25 is: 148,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,563 : 93,116.25 = 93,116.25 : x
  2. Step 2: Convert to fraction form
    58,563/93,116.25 = 93,116.25/x
  3. Step 3: Cross multiply
    58,563x = 93,116.25 × 93,116.25
  4. Step 4: Simplify right side
    58,563x = 8,670,636,014.06
  5. Step 5: Solve for x
    x = 8,670,636,014.06/58,563
  6. Step 6: Final answer
    x = 148,056.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.