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Finding the Third Proportional to 93,588 and 152,804.25

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Solution

The third proportional to 93,588 and 152,804.25 is: 249,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,588 : 152,804.25 = 152,804.25 : x
  2. Step 2: Convert to fraction form
    93,588/152,804.25 = 152,804.25/x
  3. Step 3: Cross multiply
    93,588x = 152,804.25 × 152,804.25
  4. Step 4: Simplify right side
    93,588x = 23,349,138,818.06
  5. Step 5: Solve for x
    x = 23,349,138,818.06/93,588
  6. Step 6: Final answer
    x = 249,488.60

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.